On the Trace-Class Property of Hankel Operators Arising in the Theory of the Korteweg–de Vries Equation

The trace-class property of Hankel operators (and their derivatives with respect to the parameter) with strongly oscillating symbol is studied. The approach used is based on Peller’s criterion for the trace-class property of Hankel operators and on the precise analysis of the arising triple integral...

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Veröffentlicht in:	Mathematical Notes 2018-09, Vol.104 (3-4), p.377-394
Hauptverfasser:	Grudsky, S. M., Rybkin, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy problems Korteweg-Devries equation Mathematics Mathematics and Statistics Operators (mathematics) Saddle points Smoothness
Online-Zugang:	Volltext
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